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Given the function f(x)=x-(1)/(3), then what is f(x+2) as a simplified polynomial? Answer:

Given the function f(x)=x−13 f(x)=x-\frac{1}{3} , then what is f(x+2) f(x+2) as a simplified polynomial?\newlineAnswer:

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Full solution

Q. Given the function f(x)=x−13 f(x)=x-\frac{1}{3} , then what is f(x+2) f(x+2) as a simplified polynomial?\newlineAnswer:
  1. Understand Function: Understand the function and what is being asked.\newlineWe are given the function f(x)=x−13f(x) = x - \frac{1}{3} and we need to find f(x+2)f(x+2). This means we need to substitute x+2x+2 into the function f(x)f(x) in place of xx.
  2. Substitute x+2x+2: Substitute x+2x+2 into the function.\newlinef(x+2)=(x+2)−13f(x+2) = (x+2) - \frac{1}{3}\newlineWe replace every instance of xx in the function with x+2x+2.
  3. Simplify Expression: Simplify the expression. f(x+2)=x+2−13f(x+2) = x + 2 - \frac{1}{3} Now we need to combine like terms. Since there are no like terms with 22 and −13-\frac{1}{3}, the expression is already simplified.
  4. Write Final Answer: Write the final answer. f(x+2)=x+2−13f(x+2) = x + 2 - \frac{1}{3} is the simplified polynomial.

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